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Finding the Third Proportional to 300,929 and 457,304

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Solution

The third proportional to 300,929 and 457,304 is: 694,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,929 : 457,304 = 457,304 : x
  2. Step 2: Convert to fraction form
    300,929/457,304 = 457,304/x
  3. Step 3: Cross multiply
    300,929x = 457,304 × 457,304
  4. Step 4: Simplify right side
    300,929x = 209,126,948,416
  5. Step 5: Solve for x
    x = 209,126,948,416/300,929
  6. Step 6: Final answer
    x = 694,937.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.